A model for soap film dynamics with evolving thickness

Previous research on animations of soap bubbles, films, and foams largely focuses on the motion and geometric shape of the bubble surface. These works neglect the evolution of the bubble’s thickness, which is normally responsible for visual phenomena like surface vortices, Newton’s interference patterns, capillary waves, and deformation-dependent rupturing of films in a foam. In this paper, we model these natural phenomena by introducing the film thickness as a reduced degree of freedom in the Navier-Stokes equations and deriving their equations of motion. We discretize the equations on a nonmanifold triangle mesh surface and couple it to an existing bubble solver. In doing so, we also introduce an incompressible fluid solver for 2.5D films and a novel advection algorithm for convecting fields across non-manifold surface junctions. Our simulations enhance state-of-the-art bubble solvers with additional effects caused by convection, rippling, draining, and evaporation of the thin film

SEQUENCE STRATIGRAPHY OF THE NORTHERN DANUBE BASIN (SLOVAKIA)

Danube Basin Upper Miocene to Pliocene development is well recorded in its sedimentary succession, where three depositional sequences were documented (marked DB1, DB2 and DB3). First lacustrine depositional cycle (DB1) comprises the Lower to lowermost Upper Pannonian sediments (A–F zones sensu Papp 1951) represented by the Ivánka Formation and lower part of the Beladice Formation, deposited in time span 11.6–(9.7?) 8.9 Ma. Second lacustrine to alluvial depositional cycle (DB2) comprises the Upper Pannonian sediments (F, G and H zones sensu Papp 1951) represented by the upper part of the Beladice Formation and Volkovce Formation, deposited in time span 8.9 – 6.3? Ma. Third, alluvial depositional cycle (DB3) comprises the Danube Basin Upper Pliocene sediments represented by the Romanian Kolárovo Formation, dated 4.1? – 2.6 Ma